| Two blocks each of mass m in the device are pulled by a force \[F=\text{ }mg/2\] as shown in figure. All the contact surfaces are smooth. The acceleration of block A is |
 |
A) \[\frac{\sqrt{5}}{4}g\]
B) \[\frac{\sqrt{3}}{2}g\]
C) \[\frac{g}{2}\]
D) \[\frac{g}{4}\]
Correct Answer: A
Solution :
| For the system as a whole, |
| \[\frac{mg}{2}=2m({{a}_{x}})\] |
| \[\therefore \] \[{{a}_{x}}=g/4\] |
| For block A,\[\frac{mg}{2}=m{{a}_{y}}\] |
| \[\therefore \] \[{{a}_{y}}=g/2\] |
| Thus \[{{a}_{A}}=\sqrt{a_{x}^{2}+a_{y}^{2}}=\sqrt{{{\left( \frac{g}{4} \right)}^{2}}+{{\left( \frac{g}{2} \right)}^{2}}}\] |
| \[=\frac{\sqrt{5}}{4}g\] |
You need to login to perform this action.
You will be redirected in
3 sec
